Meridional through-flow calculation including the effects of non-axisymmetric flow in turbomachinery
Abstract
This report presents a method for meridional through-flow calculations in turbomachines which is available to the quasi-three-dimensional design problem. An equilibrium equation along an arbitrary quasi-orthogonal is formulated by exactly averaging the equations of continuity, momentum and energy in the circumferential direction. In the present method, the assumption of an S2-surface is unnecessary, and the effect of blade force due to the pressure difference across a blade, and the effect of nonaxisymmetricity due to finiteness of the number of blades, can be rigorously taken into account. The quasi-orthogonal can be an arbitrary curve lying on a meridional plane, and so the method can be applied to a meridional through-flow calculation in all types of turbomachines. Furthermore, the relation between the pressure difference across a blade and the change in the angular momentum along a stream surface of revolution is described. The equilibrium equations are solved by means of the streamline curvature method according to the blade loading assigned as a design condition. The present method has been applied to a design problem of a diagonal-inflow turbine.
- Publication:
-
Kyushu University Faculty of Engineering Memoirs
- Pub Date:
- September 1986
- Bibcode:
- 1986KUFEM..46..309F
- Keywords:
-
- Computational Fluid Dynamics;
- Flow Equations;
- Meridional Flow;
- Three Dimensional Flow;
- Turbomachinery;
- Angular Momentum;
- Curvature;
- Equilibrium Equations;
- Rotor Blades;
- Fluid Mechanics and Heat Transfer